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Finding the Fourth Proportional to 415,085.40, 622,229.58 and 264,901.68

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Solution

The fourth proportional to 415,085.40, 622,229.58 and 264,901.68 is: 397,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,085.40 : 622,229.58 = 264,901.68 : x
  2. Step 2: Convert to fraction form
    415,085.40/622,229.58 = 264,901.68/x
  3. Step 3: Cross multiply
    415,085.40x = 622,229.58 × 264,901.68
  4. Step 4: Simplify right side
    415,085.40x = 164,829,661,087.69
  5. Step 5: Solve for x
    x = 164,829,661,087.69/415,085.40
  6. Step 6: Final answer
    x = 397,098.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.